Creating Sections for Post Types

I’m trying to create this page structure within WordPress:

- Home                       (http://example.com/)
- Blog                         (http://example.com/blog/)
    - Blog Post              (http://example.com/blog/blog-post-name/)
- Projects                    (http://example.com/projects/)
    - Projects Post         (http://example.com/projects/project-post-name/)

Following the WordPress Codex guide Making Your Blog Appear in a Non-Root Folder I’m able to create this structure:

- Home                      (http://example.com/)
- Blog                        (http://example.com/blog/)
    - Blog Post             (http://example.com/blog/blog-post-name/)

But not the “Projects” section. The Codex documents how to move where your blog sits, but not handle different post types in this way.

I’m trying to achieve “Blog” page as the index of all “Blog Post” posts, and “Projects” page the index of all “Project Post” posts.

I haven’t set up my post types yet, since I assume the best way to do it would be based on the way these pages were set up. Any recommendations on that would be appreciated.